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Finding the Fourth Proportional to 22,837.67, 34,259.93 and 8,043.98

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Solution

The fourth proportional to 22,837.67, 34,259.93 and 8,043.98 is: 12,067.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,837.67 : 34,259.93 = 8,043.98 : x
  2. Step 2: Convert to fraction form
    22,837.67/34,259.93 = 8,043.98/x
  3. Step 3: Cross multiply
    22,837.67x = 34,259.93 × 8,043.98
  4. Step 4: Simplify right side
    22,837.67x = 275,585,980.20
  5. Step 5: Solve for x
    x = 275,585,980.20/22,837.67
  6. Step 6: Final answer
    x = 12,067.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.